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First, multiply by the reciprocal of the fraction. What is the reciprocal?

[tex]\[ 2 \div \frac{4}{10} \rightarrow 2 \times \frac{10}{4} \][/tex]

Sagot :

GinnyAnswer
To divide by a fraction, you multiply by its reciprocal. The reciprocal of a fraction [tex]\( \frac{a}{b} \)[/tex] is [tex]\( \frac{b}{a} \)[/tex].

Here, the fraction is [tex]\( \frac{4}{10} \)[/tex]. The reciprocal of [tex]\( \frac{4}{10} \)[/tex] is [tex]\( \frac{10}{4} \)[/tex].

Thus, the expression [tex]\( 2 \div \frac{4}{10} \)[/tex] can be rewritten as:

[tex]\[ 2 \times \frac{10}{4} \][/tex]

So, [tex]\(\frac{10}{4}\)[/tex] is the reciprocal of [tex]\(\frac{4}{10}\)[/tex].
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